{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Odd Asphere"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "from optiland import optic"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lens = optic.Optic()\n",
    "\n",
    "# add surfaces\n",
    "lens.add_surface(index=0, thickness=np.inf)\n",
    "lens.add_surface(\n",
    "    index=1,\n",
    "    thickness=7,\n",
    "    radius=56.128,\n",
    "    material=\"N-SF11\",\n",
    "    is_stop=True,\n",
    "    surface_type=\"odd_asphere\",\n",
    "    coefficients=[-3.142e-3, 3.867e-3, -1.602e-4],\n",
    ")\n",
    "lens.add_surface(index=2, thickness=30, radius=-58.697)\n",
    "lens.add_surface(index=3)\n",
    "\n",
    "# set aperture\n",
    "lens.set_aperture(aperture_type=\"EPD\", value=15)\n",
    "\n",
    "# add field\n",
    "lens.set_field_type(field_type=\"angle\")\n",
    "lens.add_field(y=0)\n",
    "\n",
    "# add wavelength\n",
    "lens.add_wavelength(value=0.55, is_primary=True)\n",
    "\n",
    "# draw lens\n",
    "lens.draw(num_rays=10)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
